## Class 8 Mensuration MCQs

In Mensuration we deal with the measurement of perimeter, i.e. the total boundary length, area (amount of region covered), volume (space occupied), etc. of some geometrical figures like square, rectangle, cube, cuboid, cone, sphere, etc.

In this class 8 Mensuration MCQs post, we have provided you some 100+ multiple-choice questions for pracetice. We hope these Class 8 Mensuration MCQs will help you fetch good marks in your CBSE, AMU, Jamia, Sainik School, Army School, Navodaya exams.

**Class 8 Mensuration Formula**

Rectangle | Perimeter = 2 × (length + breadth)Area = length × breadthdiagonal = √(length² + breadth²) |

Square | Perimeter = 4 × sideArea = (side)² |

Triangle | Perimeter = sum of all sidesArea = 1/2 × base × corresponding height |

Trapezium | Perimeter = sum of the lengths of all sidesArea = ½ × (sum of parallel sides) × Altitide |

**Here are some multiple-choice questions (MCQs) for CBSE Standard 8 from the chapter Mensuration.**

**Note: Answers are provided at the end of each section- A, B, C.**

**A. Class 8 Mensuration MCQs 1-25**

**1. The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its breadth?**

a) 5 cm

b) 6 cm

c) 7 cm

d) 8 cm

**2. What is the area of a square with a side length of 6 cm?**

a) 12 sq. cm

b) 24 sq. cm

c) 36 sq. cm

d) 48 sq. cm

**3. The circumference of a circle is 44 cm. What is its radius?**

a) 7 cm

b) 11 cm

c) 14 cm

d) 22 cm

**4. If the perimeter of a square is 20 cm, what is its area?**

a) 16 sq. cm

b) 25 sq. cm

c) 36 sq. cm

d) 49 sq. cm

**5. The length of a rectangle is 12 cm and its breadth is 5 cm. What is its area?**

a) 17 sq. cm

b) 30 sq. cm

c) 45 sq. cm

d) 60 sq. cm

**6. The circumference of a circle is 88 cm. What is its diameter?**

a) 14 cm

b) 22 cm

c) 28 cm

d) 44 cm

**7. The radius of a circle is 7 cm. What is its circumference?**

a) 14 cm

b) 22 cm

c) 44 cm

d) 154 cm

**8. What is the volume of a cube with a side length of 3 cm?**

a) 9 cu. cm

b) 12 cu. cm

c) 18 cu. cm

d) 27 cu. cm

**9. If the radius of a cylinder is 4 cm and its height is 10 cm, what is its volume?**

a) 40 cu. cm

b) 80 cu. cm

c) 100 cu. cm

d) 160 cu. cm

**10. The perimeter of a square is 28 cm. What is its side length?**

a) 4 cm

b) 7 cm

c) 14 cm

d) 28 cm

**11. What is the area of a triangle with base 8 cm and height 6 cm?**

a) 12 sq. cm

b) 24 sq. cm

c) 30 sq. cm

d) 48 sq. cm

**12. The circumference of a circle is 66 cm. What is its radius?**

a) 11 cm

b) 22 cm

c) 33 cm

d) 44 cm

**13. The area of a square is 49 sq. cm. What is its side length?**

a) 4 cm

b) 7 cm

c) 14 cm

d) 21 cm

**14. The perimeter of a rectangle is 24 cm and its length is 6 cm. What is its breadth?**

a) 3 cm

b) 4 cm

c) 6 cm

d) 8 cm

**15. If the side length of a cube is doubled, how does its volume change?**

a) It doubles

b) It triples

c) It quadruples

d) It remains the same

**16. What is the surface area of a cube with a side length of 5 cm?**

a) 25 sq. cm

b) 50 sq. cm

c) 75 sq. cm

d) 100 sq. cm

**17. The radius of a circle is 5 cm. What is its area?**

a) 25 sq. cm

b) 50 sq. cm

c) 75 sq. cm

d) 100 sq. cm

**18. If the diameter of a circle is 20 cm, what is its circumference?**

a) 10π cm

b) 20π cm

c) 40π cm

d) 80π cm

**19. The perimeter of a square is 36 cm. What is its area?**

a) 9 sq. cm

b) 36 sq. cm

c) 81 sq. cm

d) 144 sq. cm

**20. What is the volume of a cube with a surface area of 54 sq. cm?**

a) 8 cu. cm

b) 27 cu. cm

c) 64 cu. cm

d) 125 cu. cm

**21. The circumference of a circle is 132 cm. What is its diameter?**

a) 21 cm

b) 42 cm

c) 63 cm

d) 84 cm

**22. The radius of a circle is 8 cm. What is its circumference?**

a) 16π cm

b) 32π cm

c) 64π cm

d) 128π cm

**23. If the radius of a cylinder is 6 cm and its height is 12 cm, what is its volume?**

a) 144 cu. cm

b) 288 cu. cm

c) 432 cu. cm

d) 864 cu. cm

**24. What is the area of a rectangle with length 9 cm and breadth 4 cm?**

a) 13 sq. cm

b) 26 sq. cm

c) 36 sq. cm

d) 45 sq. cm

**25. The circumference of a circle is 154 cm. What is its radius?**

a) 7 cm

b) 14 cm

c) 22 cm

d) 77 cm

These questions cover various concepts in mensuration and should provide a good practice for students.

## Click for Answer/Explanation

- b) 6 cm
- c) 36 sq. cm
- b) 11 cm
- a) 16 sq. cm
- d) 60 sq. cm
- b) 22 cm
- b) 22 cm
- a) 9 cu. cm
- b) 80 cu. cm
- b) 7 cm
- a) 12 sq. cm
- a) 11 cm
- b) 7 cm
- a) 3 cm
- c) It quadruples
- b) 50 sq. cm
- a) 25 sq. cm
- b) 20π cm
- d) 144 sq. cm
- a) 8 cu. cm
- b) 42 cm
- b) 32π cm
- b) 288 cu. cm
- c) 36 sq. cm
- c) 22 cm

Here are a few more advanced level Class 8 Mensuration MCQs to practice for your CBSE and other competitive exams like AMU, Jamia, Navoday, Sainik School, Army Schools.

**B. Advanced Mensuration MCQs (1-50)**

**1. The diagonal of a square is 10√2 cm. What is its side length?**

a) 5 cm

b) 10 cm

c) 10√2 cm

d) 20 cm

**2. A circular pond has a circumference of 44 meters. What is its area?**

a) 154 sq. meters

b) 154π sq. meters

c) 308 sq. meters

d) 308π sq. meters

**3. The perimeter of a regular hexagon is 36 cm. What is the length of one of its sides?**

a) 3 cm

b) 4 cm

c) 6 cm

d) 12 cm

**4. The area of a circle is 154 sq. cm. What is its circumference?**

a) 14 cm

b) 22 cm

c) 44 cm

d) 154 cm

**5. A rectangular prism has dimensions 4 cm × 5 cm × 6 cm. What is its total surface area?**

a) 120 sq. cm

b) 140 sq. cm

c) 150 sq. cm

d) 180 sq. cm

**6. The volume of a cone is 100π cu. cm and its radius is 5 cm. What is its height?**

a) 4 cm

b) 5 cm

c) 8 cm

d) 10 cm

**7. The volume of a sphere is 288π cu. cm. What is its radius?**

a) 3 cm

b) 4 cm

c) 6 cm

d) 12 cm

**8. A cylindrical tank has a radius of 7 meters and a height of 10 meters. What is its volume?**

a) 490π cu. meters

b) 980π cu. meters

c) 1470π cu. meters

d) 2940π cu. meters

**9. The diagonal of a rectangle is 17 cm and its length is 8 cm. What is its breadth?**

a) 7 cm

b) 8 cm

c) 15 cm

d) 17 cm

**10. The volume of a cube is 512 cu. cm. What is the length of its diagonal?**

a) 8 cm

b) 12 cm

c) 16 cm

d) 24 cm

**11. The ratio of the areas of two similar triangles is 9:16. If the area of the smaller triangle is 36 sq. cm, what is the area of the larger triangle?**

a) 64 sq. cm

b) 81 sq. cm

c) 144 sq. cm

d) 256 sq. cm

**12. The perimeter of a semicircle is 22 cm. What is its radius?**

a) 7 cm

b) 11 cm

c) 14 cm

d) 22 cm

**13. The area of a trapezium is 45 sq. cm and its height is 5 cm. If one of the parallel sides is 10 cm, what is the length of the other parallel side?**

a) 3 cm

b) 4.5 cm

c) 6 cm

d) 9 cm

**14. The diameter of a circle is 20 cm. What is its area, if the diameter of a smaller circle is 5 cm?**

a) 25π sq. cm

b) 50π sq. cm

c) 100π sq. cm

d) 400π sq. cm

**15. A cylindrical container has a radius of 6 cm and a height of 15 cm. What is its volume?**

a) 540π cu. cm

b) 810π cu. cm

c) 1620π cu. cm

d) 2430π cu. cm

**16. A cone has a radius of 9 cm and a slant height of 15 cm. What is its volume?**

a) 405π cu. cm

b) 810π cu. cm

c) 1215π cu. cm

d) 2430π cu. cm

**17. The area of a regular hexagon is 150√3 sq. cm. What is the length of one of its sides?**

a) 5 cm

b) 10 cm

c) 15 cm

d) 30 cm

**18. The radius of a cylinder is 6 cm and its height is 8 cm. What is its surface area?**

a) 288π sq. cm

b) 360π sq. cm

c) 432π sq. cm

d) 576π sq. cm

**19. The perimeter of a sector of a circle is 30 cm and its radius is 7 cm. What is its area?**

a) 21 sq. cm

b) 49 sq. cm

c) 77 sq. cm

d) 154 sq. cm

**20. The radius of a sphere is doubled. How does its volume change?**

a) It doubles

b) It quadruples

c) It becomes eight times

d) It remains the same

**21. The volume of a cube is 64 cu. cm. What is the length of its edge?**

a) 2 cm

b) 3 cm

c) 4 cm

d) 8 cm

**22. A rectangular tank has a length of 5 meters, a width of 3 meters, and a height of 4 meters. What is its volume?**

a) 40 cu. meters

b) 60 cu. meters

c) 80 cu. meters

d) 120 cu. meters

**23. The diameter of a circular garden is 21 meters. What is its area if the diameter of a smaller circle is 7 meters?**

a) 77π sq. meters

b) 154π sq. meters

c) 231π sq. meters

d) 308π sq. meters

**24. The volume of a cone is 288π cu. cm. What is its slant height?**

a) 6 cm

b) 8 cm

c) 12 cm

d) 24 cm

**25. The surface area of a cylinder is 264 sq. cm. If its radius is 3 cm, what is its height?**

a) 6 cm

b) 8 cm

c) 12 cm

d) 18 cm

**26. The perimeter of a sector of a circle is 20 cm and its radius is 5 cm. What is its central angle?**

a) 36°

b) 72°

c) 108°

d) 144°

**27. The diagonal of a cube is 10√3 cm. What is its volume?**

a) 100 cu. cm

b) 125 cu. cm

c) 150 cu. cm

d) 200 cu. cm

**28. The volume of a pyramid is 75 cu. cm and its height is 5 cm. If the base area is 25 sq. cm, what is its slant height?**

a) 5 cm

b) 10 cm

c) 15 cm

d) 25 cm

**29. The surface area of a cube is 486 sq. cm. What is its volume?**

a) 64 cu. cm

b) 125 cu. cm

c) 216 cu. cm

d) 729 cu. cm

**30. A cylinder has a volume of 3850π cu. cm and a radius of 7 cm. What is its height?**

a) 10 cm

b) 15 cm

c) 20 cm

d) 25 cm

**31. The perimeter of a semicircle is 32 cm. What is its area?**

a) 64π sq. cm

b) 128π sq. cm

c) 256π sq. cm

d) 512π sq. cm

**32. The circumference of a circle is 154 cm. What is its area if the circumference of a smaller circle is 22 cm?**

a) 38.5π sq. cm

b) 154π sq. cm

c) 385π sq. cm

d) 616π sq. cm

**33. A sphere has a volume of 288π cu. cm. What is its surface area?**

a) 144π sq. cm

b) 216π sq. cm

c) 288π sq. cm

d) 432π sq. cm

**34. The perimeter of a sector of a circle is 24 cm and its radius is 4 cm. What is its area?**

a) 4π sq. cm

b) 8π sq. cm

c) 12π sq. cm

d) 16π sq. cm

**35. The radius of a sphere is 10 cm. What is its volume if the radius of a smaller sphere is 5 cm?**

a) 125π cu. cm

b) 250π cu. cm

c) 375π cu. cm

d) 500π cu. cm

**36. The volume of a pyramid is 192 cu. cm and its height is 8 cm. If the base area is 48 sq. cm, what is its slant height?**

a) 4 cm

b) 8 cm

c) 12 cm

d) 16 cm

**37. The surface area of a cylinder is 180π sq. cm. If its radius is 3 cm, what is its height?**

a) 6 cm

b) 8 cm

c) 10 cm

d) 12 cm

**38. The volume of a rectangular prism is 400 cu. cm and its dimensions are in the ratio 2:3:5. What is its height?**

a) 8 cm

b) 10 cm

c) 12 cm

d) 15 cm

**39. The circumference of a semicircle is 15π cm. What is its area?**

a) 11.25π sq. cm

b) 22.5π sq. cm

c) 33.75π sq. cm

d) 45π sq. cm

**40. The perimeter of a sector of a circle is 24 cm and its radius is 3 cm. What is its central angle?**

a) 45°

b) 60°

c) 90°

d) 120°

**41. The diameter of a sphere is 12 cm. What is its surface area if the diameter of a smaller sphere is 6 cm?**

a) 36π sq. cm

b) 72π sq. cm

c) 108π sq. cm

d) 144π sq. cm

**42. A cylinder has a surface area of 180π sq. cm. If its radius is 4 cm, what is its height?**

a) 3 cm

b) 4 cm

c) 5 cm

d) 6 cm

**43. The volume of a pyramid is 98 cu. cm and its height is 7 cm. If the base area is 14 sq. cm, what is its slant height?**

a) 3 cm

b) 4 cm

c) 5 cm

d) 6 cm

**44. The radius of a cylinder is 5 cm and its volume is 400π cu. cm. What is its height?**

a) 8 cm

b) 10 cm

c) 12 cm

d) 16 cm

**45. The perimeter of a sector of a circle is 20 cm and its radius is 4 cm. What is its central angle?**

a) 45°

b) 60°

c) 90°

d) 120°

**46. The volume of a sphere is 125π cu. cm. What is its surface area?**

a) 50π sq. cm

b) 75π sq. cm

c) 100π sq. cm

d) 125π sq. cm

**47. The surface area of a cylinder is 352 sq. cm. If its radius is 4 cm, what is its height?**

a) 4 cm

b) 5 cm

c) 6 cm

d) 7 cm

**48. The volume of a pyramid is 128 cu. cm and its height is 8 cm. If the base area is 16 sq. cm, what is its slant height?**

a) 4 cm

b) 6 cm

c) 8 cm

d) 10 cm

**49. The volume of a cylinder is 616π cu. cm and its radius is 7 cm. What is its height?**

a) 4 cm

b) 7 cm

c) 8 cm

d) 11 cm

**50. The circumference of a semicircle is 18π cm. What is its area?**

a) 9π sq. cm

b) 18π sq. cm

c) 27π sq. cm

d) 36π sq. cm

## Click for Answer/Explanation

- b) 10 cm
- a) 154 sq. meters
- c) 6 cm
- a) 14 cm
- b) 140 sq. cm
- d) 10 cm
- b) 4 cm
- c) 1470π cu. meters
- a) 7 cm
- a) 8 cm
- c) 144 sq. cm
- a) 7 cm
- b) 4.5 cm
- d) 400π sq. cm
- c) 1620π cu. cm
- c) 1215π cu. cm
- c) 15 cm
- b) 360π sq. cm
- b) 49 sq. cm
- c) It becomes eight times
- b) 3 cm
- c) 80 cu. meters
- c) 231π sq. meters
- b) 8 cm
- a) 6 cm
- b) 72°
- b) 125 cu. cm
- c) 15 cm
- c) 216 cu. cm
- b) 15 cm
- b) 128π sq. cm
- a) 38.5π sq. cm
- d) 432π sq. cm
- a) 4π sq. cm
- a) 125π cu. cm
- a) 4 cm
- a) 6 cm
- a) 8 cm
- b) 22.5π sq. cm
- c) 90°
- a) 36π sq. cm
- c) 5 cm
- a) 3 cm
- a) 8 cm
- c) 90°
- b) 75π sq. cm
- d) 7 cm
- b) 6 cm
- c) 8 cm
- a) 9π sq. cm

**Here is some more Class 8 Mensuration MCQs to Practice.**

**C. Mensuration MCQs (1-30)**

**1. The perimeter of a regular octagon is 64 cm. What is the length of one of its sides?**

a) 6 cm

b) 8 cm

c) 12 cm

d) 16 cm

**2. The area of a rhombus is 120 sq. cm and one of its diagonals is 15 cm. What is the length of the other diagonal?**

a) 8 cm

b) 10 cm

c) 12 cm

d) 15 cm

**3. A triangular prism has a base area of 36 sq. cm and a height of 8 cm. What is its volume?**

a) 96 cu. cm

b) 144 cu. cm

c) 192 cu. cm

d) 288 cu. cm

**4. The diameter of a circle is 20 cm. What is its circumference if the radius of a smaller circle is 5 cm?**

a) 10π cm

b) 20π cm

c) 40π cm

d) 80π cm

**5. The ratio of the volumes of two cones is 1:8. If the height of the smaller cone is 4 cm, what is the height of the larger cone?**

a) 8 cm

b) 12 cm

c) 16 cm

d) 24 cm

**6. The radius of a circle is 7 cm. What is the length of an arc subtended by a central angle of 45°?**

a) 3.5π cm

b) 7π cm

c) 10.5π cm

d) 14π cm

**7. The volume of a cone is 162π cu. cm. If its radius is tripled, what will be the new volume?**

a) 54π cu. cm

b) 162π cu. cm

c) 486π cu. cm

d) 1458π cu. cm

**8. The volume of a pyramid is 64 cu. cm and its height is 8 cm. If the base area is 16 sq. cm, what is its slant height?**

a) 4 cm

b) 6 cm

c) 8 cm

d) 10 cm

**9. The diameter of a sphere is 14 cm. What is its surface area if the diameter of a smaller sphere is 7 cm?**

a) 98π sq. cm

b) 196π sq. cm

c) 294π sq. cm

d) 392π sq. cm

**10. The area of a trapezium is 60 sq. cm and its height is 6 cm. If one of the parallel sides is 10 cm, what is the length of the other parallel side?**

a) 4 cm

b) 6 cm

c) 8 cm

d) 12 cm

**11. The radius of a circle is 12 cm. What is the length of an arc subtended by a central angle of 120°?**

a) 4π cm

b) 6π cm

c) 8π cm

d) 12π cm

**12. A sphere has a surface area of 144π sq. cm. What is its volume?**

a) 36π cu. cm

b) 72π cu. cm

c) 108π cu. cm

d) 144π cu. cm

**13. The perimeter of a sector of a circle is 28 cm and its central angle is 60°. What is its radius?**

a) 4 cm

b) 7 cm

c) 10 cm

d) 14 cm

**14. The circumference of a circle is 66 cm. What is the length of an arc subtended by a central angle of 180°?**

a) 22π cm

b) 33π cm

c) 44π cm

d) 66π cm

**15. The volume of a cylinder is 264 cu. cm. If its height is 6 cm, what is its radius?**

a) 3 cm

b) 4 cm

c) 6 cm

d) 12 cm

**16. The ratio of the volumes of two spheres is 1:27. If the radius of the smaller sphere is 3 cm, what is the radius of the larger sphere?**

a) 9 cm

b) 18 cm

c) 27 cm

d) 54 cm

**17. The area of a regular pentagon is 75√3 sq. cm. What is the length of one of its sides?**

a) 5 cm

b) 10 cm

c) 15 cm

d) 20 cm

**18. The perimeter of a semicircle is 16π cm. What is its diameter?**

a) 4 cm

b) 8 cm

c) 16 cm

d) 32 cm

**19. The area of a circle is 154 sq. cm. What is the length of an arc subtended by a central angle of 270°?**

a) 38.5π cm

b) 77π cm

c) 115.5π cm

d) 154π cm

**20. The volume of a cylinder is 616 cu. cm. If its height is 7 cm, what is its radius?**

a) 4 cm

b) 5 cm

c) 7 cm

d) 11 cm

**21. The diameter of a sphere is 20 cm. What is its volume if the diameter of a smaller sphere is 10 cm?**

a) 1000π cu. cm

b) 2000π cu. cm

c) 4000π cu. cm

d) 8000π cu. cm

**22. The perimeter of a sector of a circle is 18 cm and its radius is 3 cm. What is its area?**

a) 3π sq. cm

b) 6π sq. cm

c) 9π sq. cm

d) 12π sq. cm

**23. The radius of a circle is 10 cm. What is the length of an arc subtended by a central angle of 240°?**

a) 8π cm

b) 12π cm

c) 16π cm

d) 20π cm

**24. The area of a regular hexagon is 150√3 sq. cm. What is the length of one of its sides?**

a) 5 cm

b) 10 cm

c) 15 cm

d) 20 cm

**25. The perimeter of a semicircle is 20π cm. What is its diameter?**

a) 10 cm

b) 20 cm

c) 40 cm

d) 80 cm

**26. The volume of a sphere is 972π cu. cm. What is its radius?**

a) 6 cm

b) 9 cm

c) 12 cm

d) 18 cm

**27. The diameter of a sphere is 18 cm. What is its volume if the diameter of a smaller sphere is 6 cm?**

a) 216π cu. cm

b) 432π cu. cm

c) 648π cu. cm

d) 1296π cu. cm

**28. The area of a trapezium is 96 sq. cm and one of the parallel sides is 12 cm. If the height is 8 cm, what is the length of the other parallel side?**

a) 4 cm

b) 6 cm

c) 8 cm

d) 16 cm

**29. The volume of a cylinder is 100π cu. cm. If its height is 5 cm, what is its radius?**

a) 2 cm

b) 4 cm

c) 5 cm

d) 10 cm

**30. The radius of a circle is 15 cm. What is the length of an arc subtended by a central angle of 150°?**

a) 15π cm

b) 25π cm

c) 30π cm

d) 45π cm

## Click for Answer/Explanation

- 1. b) 8 cm
- 2. b) 10 cm
- 3. b) 144 cu. cm
- 4. c) 40π cm
- 5. d) 24 cm
- 6. a) 3.5π cm
- 7. c) 486π cu. cm
- 8. b) 6 cm
- 9. b) 196π sq. cm
- 10. c) 8 cm
- 11. d) 12π cm
- 12. a) 36π cu. cm
- 13. b) 7 cm
- 14. c) 44π cm
- 15. b) 4 cm
- 16. c) 27 cm
- 17. a) 5 cm
- 18. b) 8 cm
- 19. d) 154π cm
- 20. b) 5 cm
- 21. a) 1000π cu. cm
- 22. c) 9π sq. cm
- 23. c) 16π cm
- 24. a) 5 cm
- 25. b) 20 cm
- 26. b) 9 cm
- 27. c) 648π cu. cm
- 28. c) 8 cm
- 29. a) 2 cm
- 30. c) 30π cm

These questions should provide additional practice and reinforce understanding of mensuration concepts.